Abstract: At the unfavorable moments such as island startup, island load switching, and unplanned off-grid, the excessive fluctuation of microgrid bus voltage frequency may seriously damage the electrical equipment of the entire microgrid. The control performance of the energy storage converter selected as the main inverter is vital for maintaining the voltage and frequency stability of the microgrid. Therefore, on the basis of rigorously proving the passivity of the energy storage converter, a dual-passivity-based control strategy suitable for microgrid is proposed to improve the safe and stable operation of the microgrid. A passivity-based control strategy based on the island voltage loop passivity-based controller and the current inner loop passivity-based controller is designed through establishing a port-controlled Hamiltonian model, setting equilibrium points, solving energy matching equations, and correcting damping parameters. The simulation results have verified that the dual-passivity-based control can effectively improve the voltage and frequency stability of the microgrid under islanding/grid-connected operation mode switching, and better ensure the safe and stable operation of the microgrid.